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Simplifying 7(2n + 5) + -2(4n + 3) + 5 = 4n Reorder the terms: 7(5 + 2n) + -2(4n + 3) + 5 = 4n (5 * 7 + 2n * 7) + -2(4n + 3) + 5 = 4n (35 + 14n) + -2(4n + 3) + 5 = 4n Reorder the terms: 35 + 14n + -2(3 + 4n) + 5 = 4n 35 + 14n + (3 * -2 + 4n * -2) + 5 = 4n 35 + 14n + (-6 + -8n) + 5 = 4n Reorder the terms: 35 + -6 + 5 + 14n + -8n = 4n Combine like terms: 35 + -6 = 29 29 + 5 + 14n + -8n = 4n Combine like terms: 29 + 5 = 34 34 + 14n + -8n = 4n Combine like terms: 14n + -8n = 6n 34 + 6n = 4n Solving 34 + 6n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 34 + 6n + -4n = 4n + -4n Combine like terms: 6n + -4n = 2n 34 + 2n = 4n + -4n Combine like terms: 4n + -4n = 0 34 + 2n = 0 Add '-34' to each side of the equation. 34 + -34 + 2n = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2n = 0 + -34 2n = 0 + -34 Combine like terms: 0 + -34 = -34 2n = -34 Divide each side by '2'. n = -17 Simplifying n = -17
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